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ACCURATE AND EFFICIENT CALCULATION OF SINGULAR ELECTROSTATIC POTENTIALS IN CHARGE-DIELECTRIC SPHERICAL AND JANUS PARTICLE SYSTEMS
Title
ACCURATE AND EFFICIENT CALCULATION OF SINGULAR ELECTROSTATIC POTENTIALS IN CHARGE-DIELECTRIC SPHERICAL AND JANUS PARTICLE SYSTEMS
Author
Retz, Caylah
Date Created
2018
Subjects--Topical
Molecular biology, Mathematics, Physics
Description
We introduce an efficient and accurate boundary element method for computing the electrostatic potential in closely-packed dielectric spheres and Janus particles. Close physical proximity occurs in modeling molecular ion interactions or colloidal ...
An Integrated Phylogeographic Analysis of the Bantu Migration
Title
An Integrated Phylogeographic Analysis of the Bantu Migration
Author
Ford, Colby
Date Created
2018
Subjects--Topical
Computer science, Mathematics, Genetics
Description
"Bantu" is a term used to describe lineages of people in around 600 different ethnic groups on the African continent ranging from modern-day Cameroon to South Africa. The migration of the Bantu people, which occurred around 3,000 years ago, was in...
Limit Cycles in Two Dimensional Systems of Ordinary Differential Equations
Title
Limit Cycles in Two Dimensional Systems of Ordinary Differential Equations
Author
Rowe, Ashley
Date Created
2018
Subjects--Topical
Mathematics
Description
This thesis concerns cycles, i.e., topological ovals, in the phase portraits of systems of first order ordinary differential equationsin the plane, with an emphasis on limit cycles, cycles that are isolated from all other cycles. These are of fund...
ESTIMATES FOR THE NUMBER OF EIGENVALUES OF NON-SELF-ADJOINT OPERATORS
Title
ESTIMATES FOR THE NUMBER OF EIGENVALUES OF NON-SELF-ADJOINT OPERATORS
Author
Hulko, Artem
Date Created
2018
Subjects--Topical
Mathematics
Description
In this dissertation we find estimates for the total number of eigenvalues of non-self-adjoint operators. We consider five different operators, three of them discrete and two continuous. Discrete operators are as follows: Schrödinger operator defi...
OPTION VALUATION UNDER A REGIME-SWITCHING MODEL USING THE FAST FOURIER TRANSFORM
Title
OPTION VALUATION UNDER A REGIME-SWITCHING MODEL USING THE FAST FOURIER TRANSFORM
Author
Sohrabi, Elham
Date Created
2018
Subjects--Topical
Finance, Mathematics
Description
In this dissertation, we consider European-style commodity options and futures options where the logarithm of the underlying commodity price dynamics is governed by the regime-switching Ornstein-Uhlenbeck model. A semi-analytical approach to value...
THE BRAID INDICES OF ALTERNATING LINKS
Title
THE BRAID INDICES OF ALTERNATING LINKS
Author
Liu, Pengyu
Date Created
2018
Subjects--Topical
Mathematics
Description
It is well known in knot theory that any link can be represented by a closed braid and the braid index of a link is the invariant defined as the minimum number of strands in any closed braid representing the link. It is difficult in general to det...
Improving Semiparametric Estimation of Longitudinal Data with Covariance Function
Title
Improving Semiparametric Estimation of Longitudinal Data with Covariance Function
Author
Fang, Fang
Date Created
2018
Subjects--Topical
Mathematics, Statistics, Biometry
Description
In this dissertation, we aim to improve efficiency of estimation in longitudinal data under generalized semi-parametric varying-coefficient models.First, we investigate a profile weighted least square approach for model estimation by utilizing wit...